I am trying to derive the Kepler equation:(adsbygoogle = window.adsbygoogle || []).push({});

M = E - e * sin(E)

where M=Mean Anomaly, e=Eccentricity and E=Eccentric Anomaly.

If you drop a perpendicular down from the object to the Perihelion-axis you can take:

a * cos(E) = a * e + Recl * cos (TA)

where Recl is the Ecliptic radius to the object from the Sun and TA=True Anomaly.

I am having a hard time equating M and TA because one is on the Ecliptic Plane and the other is on the Orbiting Plane.

Any hints are appreciated.

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# Derive the Kepler equation

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